An Analytical ArithmeticTrinity College, N.C., 1890 |
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Common terms and phrases
15 days 15 dollars 18 cents 20 dollars 30 days 40 bushels 40 cents 500 dollars amount Analysis bale Bought bushels of corn bushels of oats bushels of wheat cents a bushel cents a piece cents a pound chop 36 cords common divisor COMMON FRACTIONS compound interest cords of wood cost cotton counting the Equal denominator discount divide the numerator dividend dollar a piece dollar a yard excavation gain gallons Gave my note Given Principal Greatest Common Divisor guano horse improper fraction investment lemons LESSON I.
I. LESSON II Let A B loan my money lowest terms miles Mixed number molasses money is worth months multiply Note.-Observe nutmeg paid premium present worth prime factors problem receive reduce the following sold sugar took a note Trinity College Unit Whole number yards of cloth yards of earth
Popular passages
Page 24 - The greatest common divisor (gcd) of two or more numbers is the greatest number that will divide each of them exactly.
Page 8 - If 8 men can do a piece of work in 9 days, how long will it take one man to do the same work ? 17.
Page 30 - If the numerator and denominator are both, multiplied or both divided by the same number, the value of the fraction will not be altered.
Page 23 - A proper fraction is a fraction whose numerator is less than its denominator.
Page 39 - The least common denominator of two or more fractions is the least common multiple of their denominators.
Page 9 - ... 291. MAGNITUDES WHICH ARE INVERSELY PROPORTIONAL, TO OTHER MAGNITUDES OR TO THE SQUARES OF OTHER MAGNITUDES. EXAMPLE. If 5 men do a piece of work in 16 days, how long will it take 8 men to do a similar piece of work ? OPERATION AND EXPLANATION. It is evident that the time required will be inversely proportional to the number of men employed ; that is, if twice as many men are employed, not twice as much, but £ as much time will be required.
Page 62 - To divide an integer by a fraction. 1. At f of a dollar a yard, how many yards of cloth can be bought for 12 dollars? FIRST OPERATION.
Page 72 - Divide as in whole numbers ; give as many decimal places in the quotient as those in the dividend exceed those in the divisor ; if there are not as many, supply the deficiency by prefixing ciphers. How do you divide one decimal by another ? How many decimal places must the quotient have? If the whole number of figures in the quotient a not as great as the number of decimals required, how do you proceed 7 EXAMPLES.
Page 23 - ... for in either case the numerator is one half of the denominator. Hence it appears, that the value of a fraction is not affected by dividing or multiplying both the numerator and denominator by the same number. (See Art. 43.) To reducea fraction to its lowest terms, we have this RULE.
Page 26 - The GCD of two or more numbers is the product of all the prime common factors of these numbers.